Skip to content
Interview prep / Probability

Probability interview questions: page 9 of 19

Questions 401–450

  1. Doubling-or-extinction population lifetimeEasy
  2. Quadratic with Rayleigh and exponential coefficientsMedium
  3. Anagrams with two Bs ahead of every OMedium
  4. Equilibrium redraw threshold in a uniform duelHard
  5. More primes with one extra die rollEasy
  6. Variance to mean ratio of a random intersectionMedium
  7. Choosing a number when the larger pays the smallerMedium
  8. Expected complete groups of four in a random graphMedium
  9. Stopping on three consecutive face-down cardsHard
  10. Counting numbers up to 100000 with digit sum nineMedium
  11. Squared deviation of one variable from the sample meanMedium
  12. Lattice walk escaping a square of half-width twoHard
  13. Markov bound on total exponential weightEasy
  14. Geometric variable at most 8 given at least 5Easy
  15. Rolling until the running total is evenEasy
  16. King-move walk returning to the corner in two stepsEasy
  17. How many bidders to hire at five dollars eachMedium
  18. Boat sighting chance over ten minutesEasy
  19. Root of a random cubic in the unit intervalHard
  20. First red light run on the fourth lightEasy
  21. Two dice whose sum is at least their productEasy
  22. Last of sixteen uniforms smallest, first largestMedium
  23. Thirty-sided versus twenty-sided die with one rerollMedium
  24. Waiting for a uniform to beat a random thresholdEasy
  25. Finding a prize door with two hint spinsEasy
  26. Choosing five guests when two cannot both comeEasy
  27. Re-tossing tails only in pairsMedium
  28. Painted small cube showing red twiceMedium
  29. Time to climb one step with downward driftMedium
  30. Three stages of dice whose counts come from previous sumsEasy
  31. Five ten-sided rolls in strictly increasing orderMedium
  32. Splitting white and black balls into bowls of threeMedium
  33. Four dogs in a row at a round tableMedium
  34. Pairing numbered gloves within one of each otherHard
  35. Limit for the maximum of exponentials below log nMedium
  36. Expected time for an upward-biased walk to reach 7Easy
  37. Three uniform lengths forming a triangleMedium
  38. Covariance of X with the square of a correlated normalMedium
  39. Staircase climbs using jumps of two or moreMedium
  40. Correlation from the spread of a sumEasy
  41. Race to three heads or three tailsEasy
  42. Mean gap between two thirty-sided diceEasy
  43. One of two blue dice matching a red dieEasy
  44. Colour of the first ball given a blue secondEasy
  45. Expected vegetables eaten in a reroll die gameEasy
  46. Red cherry chance after moving half a bowlMedium
  47. Expected loops from tying 100 noodle endsHard
  48. Exactly one overlap between two random circle arcsMedium
  49. No single-colour rectangle on a 12-gonMedium
  50. Three random chords on a circle avoiding crossingsMedium